Geometry Groove 2-3

GEOMETRY GROOVE

GEOMETRY GROOVE

Learning Description

In this lesson, students will use movement and shape to understand types of angles and composition of polygons.

 

Learning Targets

GRADE BAND: 2-3
CONTENT FOCUS: DANCE & MATH
LESSON DOWNLOADS:

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can identify and create different types of angles.

  • I can create a movement for a polygon that shows different types of angles.

Essential Questions

  • How can dance/movement aid in comprehension of angles and polygons?

 

Georgia Standards

Curriculum Standards

Grade 3: 

3.GSR.6: Identify the attributes of polygons, including parallel segments, perpendicular segments, right angles, and symmetry.

3.GSR.6.1 Identify perpendicular line segments, parallel line segments, and right angles, identify these in polygons, and solve problems involving parallel line segments, perpendicular line segments, and right angles

3.GSR.6.2 Classify, compare, and contrast polygons, with a focus on quadrilaterals, based on properties. Analyze specific 3- dimensional figures to identify and describe quadrilaterals as faces of these figures.

Arts Standards

Grade 3:

ESD3.CR.1 Demonstrate an understanding of the choreographic process.

 

ESD3.CR.2 Demonstrate an understanding of dance as a form of communication.

 

ESD3.PR.1 Identify and demonstrate movement elements, skills, and terminology in dance

 

ESD3.RE.1 Demonstrate critical and creative thinking in dance.

 

South Carolina Standards

Curriculum Standards

Grade 3: 

3.G.3 Use a right angle as a benchmark to identify and sketch acute and obtuse angles.

Arts Standards

Anchor Standard 1: I can use movement exploration to discover and create artistic ideas and works.

 

Anchor Standard 2: I can choreograph a dance.

 

Anchor Standard 3: I can perform movements using the dance elements.

Anchor Standard 7: I can relate dance to other arts disciplines, content areas, and careers.

 

Key Vocabulary

Content Vocabulary

  • Acute angle - An angle less than 90 degrees but more than 0 degrees

  • Obtuse angle - An angle between 90 and 180 degrees
  • Right angle - An angle of 90°, as in a corner of a square
  • Polygon - A two-dimensional enclosed figure with at least three sides

Arts Vocabulary

  • Choreography - The art of composing dances and planning and arranging the movements, steps, and patterns of dancers

  • Choreographer - A person who creates dances
  • Shape - This refers to an interesting and interrelated arrangement of body parts of one dance; the visual makeup or molding of the body parts of a single dancer; the overall visible appearance of a group of dancers
  • Space - An element of movement involving direction, level, size, focus, and pathway
  • Formation - The placement of dancers in a performance space

 

Materials

  • Sound source and music with a steady beat
  • Markers or crayons
  • Printed copies of dance photography

 

Instructional Design

Opening/Activating Strategy

Classroom Tips: Set up chairs and tables in a circular format to maximize students’ engagement and ability to see their peers during the activity and performance. Also establish parameters for acceptable movement choices and discuss audience behavior/etiquette with students.

  • Begin the lesson by engaging students in movement that introduces students to a few of the Elements of Dance: Body, space and time.
    • Have students arrange themselves in the classroom with enough personal space to move freely without touching a neighbor.
    • Turn on instrumental music with a steady beat.
    • First, have students bring awareness to their bodies by leading them through gentle stretches starting from the head and moving to the toes (e.g., head circles, shoulder shrugs, toe touches, etc.).
    • Next, bring students’ awareness to the rhythm of the music by having them walk in place to the beat with high knees, swinging their arms side to side. 
    • Now, direct students create shapes with their bodies; use geometric language such as curved shapes or sharp angles to direct students. 
    • Ask students to volunteer to be the leader by demonstrating a shape for students to copy.
    • This could lead into a game of Pass the Movement if time permits.
      • The objective of the game is to create a sequence of movements by passing a dance move around the circle or group, with each student adding their unique twist. 
      • Each student will create a simple movement and "pass" it to the next student, who will then repeat the movement and add their own.
      • Choose one student to start the game. This student will perform a simple movement, such as a clap, a jump, a spin, or a wave. Encourage students to focus on creating shapes and angles with their bodies.
      • The starting student then "passes" this movement to the next student by making eye contact and gesturing towards them.
      • The next student repeats the initial movement and then adds their own unique movement.
      • This student then "passes" the combined movements to the next student.
      • Each subsequent student repeats the previous movements in the correct order and adds their own new movement.
      • Continue passing the movement around the circle or along the line until all students have had a turn.
      • Once the movement has gone all the way around, have the group perform the entire sequence together from start to finish.
    • Have students return to their seats.

 

Work Session

  • Discuss with students how they used their bodies to create angles and shapes. 
  • Divide the class into small groups.
    • Ask students if they can create an obtuse angle with their bodies? Acute? Right?
    • Provide time for groups to share.
  • Pass out printed copies of dance photography to students.
    • Ask students to identify the types of angles, shapes, and polygons that they see in the photos.
    • Students should outline and label each type in a different color crayon/marker. 
    • Project images of the photography on the board and allow time for students to share what they identified in the photos. 
  • Next, randomly pass out note cards with a type of angle written on it. 
  • Students must create a shape with their bodies that demonstrates a polygon with that type of angle (i.e., acute angle in a rhombus).
    • Students can choose to each make the movement with their bodies individually, or can combine to make one large formation together. 
  • Now, tell students that dancers move to the beat of music. Students will have four beats to perform their movement. Tell students that by the count of four, they should be showing their polygon with their bodies and should freeze in the shape.
    • Practice a four count to the beat of the music with students.
    • Allow time for students to practice using a four count to perform their movement.

 

Closing Reflection

  • The students will perform their movements for their classmates. Discuss appropriate audience participation and etiquette prior to performances.
  • After each performance, the audience should be able to identify the polygon and the types of angles represented.

 

Assessments

Formative

Teachers will assess students’ understanding of the content throughout the lesson by observing students’ participation in the activator; ability to identify types of shapes, polygons and angles in dance photography; and collaborative choreography.

 

Summative

CHECKLIST

  • Students can identify and create different types of angles.
  • Students can create a movement for a type polygon with the type of angle assigned.

 

DIFFERENTIATION 

Acceleration: Challenge students to create a three movement phrase that includes three types of polygons that have the type of angle assigned. Students must create transitions between the movements to create smooth choreography.

Remediation: Scaffold the lesson by choosing a type of angle and polygon to create a movement for as a class. Then, have students create a new movement in their groups for a polygon using that same type of angle. Finally, groups will create a movement for a polygon that uses a new angle. 

 

 

*This integrated lesson provides differentiated ideas and activities for educators that are aligned to a sampling of standards. Standards referenced at the time of publishing may differ based on each state’s adoption of new standards.

Ideas contributed by: Melissa Dittmar-Joy. Updated by Katy Betts.

Revised and copyright: June 2024 @ ArtsNOW

 

Collaborative Kandinsky

COLLABORATIVE KANDINSKY

Collaborative Kandinsky

Learning Description

Students will review some of Kandinsky’s works to find shapes. Students will create a collaborative piece of art using shapes and lines that is inspired by the artwork of Wassily Kandinsky.

 

Learning Targets

GRADE BAND: K-1
CONTENT FOCUS: Math
LESSON DOWNLOADS:

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can identify different types of shapes and lines.
  • I can use different types of shapes and lines to create an original artwork.

Essential Questions

  • How can you utilize visual images to learn math concepts?
  • How can you create an original work of art using a variety of shapes and lines?

 

Georgia Standards

Curriculum Standards

Kindergarten: 

K.GSR.8 Identify, describe, and compare basic shapes encountered in the environment, and form two-dimensional shapes and three-dimensional figures.

Grade 1: 

1.GSR.4 Compose shapes, analyze the attributes of shapes, and relate their parts to the whole.

1.GSR.4.1 Identify common two dimensional shapes and three dimensional figures, sort and classify them by their attributes and build and draw shapes that possess defining attributes.

1.GSR.4.2 Compose two-dimensional shapes (rectangles, squares, triangles, half-circles, and quarter-circles) and three dimensional figures (cubes, rectangular prisms, cones, and cylinders) to create a shape formed of two or more common shapes and compose new shapes from the composite shape.

Arts Standards

Kindergarten: 

VAKMC.3 Selects and uses subject matter, symbols, and/or ideas to communicate meaning. 

VAKPR.1 Creates artworks based on personal experience and selected themes.

VAKPR.2 Understands and applies media, techniques, and processes of two-dimensional works of art (e.g., drawing, painting, printmaking, mixed media) using tools and materials in a safe and appropriate manner to develop skills. 

VAKAR.1 Discusses his or her own artwork and the artwork of others. 

Grade 1:

VA1MC.3 Selects and uses subject matter, symbols, and ideas to communicate meaning. 

VA1PR.1 Creates artworks based on personal experience and selected themes. 

VA1PR.2 Understands and applies media, techniques, and processes of two-dimensional works of art (drawing, painting, printmaking, mixed media) using tools and materials in a safe and appropriate manner to develop skills. 

VA1AR.1: Discusses his or her artwork and the artwork of others.

 

South Carolina Standards

Curriculum Standards

Grade 1:

1.NSBT.1.c. Read, write and represent numbers to 100 using concrete models, standard form, and equations in expanded form1.NSBT.4 Add through 99 using concrete models, drawings, and strategies based on place value to: a. add a two-digit number and a one-digit number, understanding that sometimes it is necessary to compose a ten (regroup)

Arts Standards

Grade 1:

Anchor Standard 3: I can act in improvised scenes and written scripts.

 

Key Vocabulary

Content Vocabulary

Place Value - The value of where the digit is in the number, such as units, tens, hundreds, etc.

Arts Vocabulary

Statue (Statues) - An actor frozen in a pose.

Tableau (Tableaux) - A group of actors frozen to create a picture.

 

Materials

Plus (+) and equal (=) sign placards that can stand on the floor (one possibility – written with marker on an inverted file folder - or part thereof – and capable of standing like a tent).

 

Instructional Design

Opening/Activating Strategy

Letter Statues
Introduce or review what a statue is – an actor in a frozen pose. Explain that the students will make letter statues with their bodies. Call out one letter at a time and have them make the letters. Use a drum, another percussion instrument, or clapping to cue the statues. Encourage students to be creative, using full body, limbs, fingers, etc., and exploring the possibilities of standing, kneeling, sitting, lying down, etc., as appropriate for the classroom space. Use observational language to comment on the different ways in which students use their bodies to create the statues.

 

Work Session

Number Statues

  • Repeat the process with numbers (single digits). After exploring multiple possibilities, inform students that they will focus on making number statues that use their whole bodies, and for which they will remain standing. Practice standing number statues.
  • Ask students how they would make a statue of a number up to 100. Elicit from them, or guide them to, the idea of working in pairs or trios.
  • Introduce or review what a tableau is – a group of actors frozen in a picture. Explain that tableaux often create pictures with characters and settings, but the tableaux today will be of numbers and number sentences.
  • Invite two, and then three, volunteers to model creating a tableaux up to 100. Ask students what each digit in a multiple-digit number represents. Introduce or review the concept of place value. Ensure that students understand that the digit to the left represents a higher place value than the digit to the right, and identify the units: ones, tens, and hundreds places.
  • Have students work in pairs to create a 2-digit number tableau (full-body, standing). Have them work together to say the name of the number together out loud. After creating a number, have them switch positions and say the name of the number with the digits switched. Move among the pairs to confirm that they are expressing each number correctly.
  • If students have grasped the 2-digit numbers and are ready for 3-digit numbers, have them repeat the process in trios. Each trio can explore all the possibilities with their three digits (if the digits are all different, e.g., 1, 2, and 3, there will be six permutations: 123, 132, 213, 231, 312, 321.)
  • Introduce the idea of moving from number tableaux to addition sentence tableaux.
  • Invite three students to model a simple addition sentence tableau, e.g., 3 + 4 = 7. Have the students assume their positions, and then have them speak the sentence together. (Note: this is an opportunity, if relevant, to introduce or reinforce the Commutative Property of addition by having the addends switch places.)
  • Provide plus and equal sign tent cards and have students work in trios to create addition sentence tableaux.
  • Use the same process, first modeling and then having the students work in small groups, to move into more complex addition sentences: adding two 1-digit numbers that result in a 2-digit sum (e.g., 5 + 7 = 12), adding a 1- and a 2- digit number together, without and then with sums that require making a new ten (e.g., 31 + 7 = 38, and then 29 + 3 = 32), and then adding two 2-digit numbers, without and then with sums that require carrying to the tens and hundreds places (e.g., 45 + 12 = 57, then 24 + 19 = 43, then 74 + 38 = 112).

Teaching Tips:

  • As appropriate to the class, use established addition strategies (counting on, making ten, etc.) to calculate sums, and advance only as far in the sequence of complexity as the class can manage.
  • This may be a lesson that is done over time. The first step may best be suited for when single digit addition is taught, then adding 2-digit addition as the concept is taught, and so on.

 

Closing Reflection

Ask students: How did you use your bodies to create letter and number statues and addition sentence tableaux? Which were more challenging, letter statues or number statues? How do we determine the name and value of a 2- or 3-digit number? How did you determine your place or role in the number sentence?

 

Assessments

Formative

  • Students will identify shapes and describe where they are in Kandinsky’s artwork through group discussion.
  • Students will be able to explain the difference between two-and three-dimensional shapes.

 

Summative

  • Student collaborative artwork with required shapes and lines
  • Student scavenger hunt/checklist for closing/reflection

 

Differentiation

Acceleration: After the assessment, have the students practice combining two or more simple shapes to create a different shape.  Example:  You can combine two triangles to make a rectangle.

Remediation: Provide students with a printed copy of the types of shapes as a visual guide. Provide a visual guide for the types of shapes and lines that the student is required to include in their part of the artwork.

 ADDITIONAL RESOURCES

*This integrated lesson provides differentiated ideas and activities for educators that are aligned to a sampling of standards. Standards referenced at the time of publishing may differ based on each state’s adoption of new standards.

 Ideas contributed by: Carolynn Stoddard.  Updated by Katy Betts

 Revised and copyright:  August 2022 @ ArtsNOW

Link it Up Plane Figure Word Chains K-2

Description

Through composition of word chains describing plane figures, students will develop skills and understandings in mathematics and music. Teamwork and creativity are necessary to create an interesting word chant that demonstrates understanding and identification of plane figures. Musical skills addressed include improvising, composing, listening, speaking, playing instruments, and moving.

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